What is the Least Common Multiple of 11608 and 11626?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 11608 and 11626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11608 and 11626, than apply into the LCM equation.

GCF(11608,11626) = 2
LCM(11608,11626) = ( 11608 × 11626) / 2
LCM(11608,11626) = 134954608 / 2
LCM(11608,11626) = 67477304

Least Common Multiple (LCM) of 11608 and 11626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11608 and 11626. First we will calculate the prime factors of 11608 and 11626.

Prime Factorization of 11608

Prime Factorization of 11626

Now multiplying the highest exponent prime factors to calculate the LCM of 11608 and 11626.

LCM(11608,11626) = 2³ × 1451¹ × 5813¹
LCM(11608,11626) = 67477304